Minkowski Dimension
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Minkowski Dimension
Minkowski, Mińkowski or Minkovski (Slavic feminine: Minkowska, Mińkowska or Minkovskaya; plural: Minkowscy, Mińkowscy; he, מינקובסקי, russian: Минковский) is a surname of Polish origin. It may refer to: * Minkowski or Mińkowski, a coat of arms of Polish nobility *Alyona Minkovski (born 1986), Russian-American correspondent and presenter * Eugène Minkowski (1885–1972), French psychiatrist * Hermann Minkowski (1864–1909) Russian-born German mathematician and physicist, known for: ** Minkowski addition ** Minkowski–Bouligand dimension ** Minkowski diagram ** Minkowski distance ** Minkowski functional ** Minkowski inequality ** Minkowski space *** Null vector (Minkowski space) ** Minkowski plane ** Minkowski's theorem ** Minkowski's question mark function ** Abraham–Minkowski controversy ** Hasse–Minkowski theorem ** Minkowski separation theorem ** Smith–Minkowski–Siegel mass formula *Christopher Minkowski (born 1953), American Indologist *Khrist ...
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Abraham–Minkowski Controversy
The Abraham–Minkowski controversy is a physics debate concerning electromagnetic momentum within dielectric media. Two equations were first suggested by Hermann Minkowski (1908) :* Wikisource translationThe Fundamental Equations for Electromagnetic Processes in Moving Bodies and Max Abraham (1909) :* Wikisource translation: On the Electrodynamics of Moving Bodies :* Wikisource translation: On the Electrodynamics of Minkowski for this momentum. They predict different values, from which the name of the controversy derives. See also: Experimental support has been claimed for both. David J. Griffiths argues that, in the presence of matter, only the total stress–energy tensor The stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor physical quantity that describes the density and flux of energy and momentum in spacetime, generalizing the stress ... carries unambiguous physical significance, and how one ...
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Jewish Surnames
Jewish surnames are family names used by Jews and those of Jewish origin. Jewish surnames are thought to be of comparatively recent origin; the first known Jewish family names date to the Middle Ages, in the 10th and 11th centuries CE. Jews have some of the largest varieties of surnames among any ethnic group, owing to the geographically diverse Jewish diaspora, as well as cultural assimilation and the recent trend toward Hebraization of surnames. Some traditional surnames relate to Jewish history or roles within the religion, such as Cohen ("priest"), Levi, Shulman ("synagogue-man"), Sofer ("scribe"), or Kantor ("cantor"), while many others relate to a secular occupation or place names. The majority of Jewish surnames used today developed in the past three hundred years. History Historically, Jews used Hebrew patronymic names. In the Jewish patronymic system the first name is followed by either ''ben-'' or ''bat-'' ("son of" and "daughter of," respectively), and then the f ...
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Rudolph Minkowski
Rudolph Minkowski (born Rudolf Leo Bernhard Minkowski ; ; May 28, 1895 – January 4, 1976) was a German-American astronomer. Biography Minkowski was the son of Marie Johanna Siegel and physiologist Oskar Minkowski. His uncle was Hermann Minkowski, a mathematician and one of Einstein's teachers in Zürich. Rudolph studied supernovae and, together with Walter Baade, divided them into two classes ( Type I and Type II) based on their spectral characteristics. He and Baade also found optical counterparts to various radio sources. He headed the National Geographic Society – Palomar Observatory Sky Survey, a photographic atlas of the entire northern sky (and down to declination -22°) up to an apparent magnitude of 22. Together with Albert George Wilson, he co-discovered the near-Earth Apollo asteroid 1620 Geographos in 1951, and he also discovered Planetary Nebula M2-9. He additionally discovered a correlation between the luminosity of early-type galaxies and their veloci ...
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Pinhas Minkowsky
Pinhas Minkowsky (; April 5, 1859 – January 18, 1924) was a Russian ''hazzan'' and composer. Biography Phinehas Minkovsky was born in Bila Tserkva in April 1859. His father, Mordecai, a descendant of Yom-Tov Lipmann Heller, was cantor in the city's Great Synagogue, and he himself was a singer in his father's choir. After having studied the Tanakh and Talmud under different teachers, Minkovsky continued his Talmudical studies alone in the ''bet hamidrash'' of his native town. At the age of eighteen he began to study Russian and German, and he mastered these two languages. His first teacher in vocal music was his father; later he studied it under Nissan Spivak, whom he succeeded as chief cantor of the in Kishinev. Minkovsky thereafter went to Vienna, where he continued his studies under Robert Fuchs, from whom he obtained a diploma as singer. He was afterwards successively cantor in Kherson and Lemberg. In 1881 he became cantor in Odessa (in the great synagogue), but soon dep ...
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Peter Minkowski
Peter Minkowski (born 10 May 1941) is a Swiss theoretical physicist. He is primarily known for his proposal, with Harald Fritzsch, of SO(10) as the group of a grand unified theory and for his independent proposal, more-or-less simultaneously with a number of other theorists, of the seesaw mechanism for the generation of neutrino masses. Biography Peter Minkowski, a life-long Swiss citizen, is the son of Mieczyslaw, a neurologist, and Irene Minkowski-Fux, a painter and architect. After his Abitur at Realgymnasium Zurich and his physics Diploma in 1963 from the Federal Institute of Technology in Zurich (ETHZ), he earned his Ph.D. in 1967 at ETHZ under Markus Fierz with thesis ''Versuch einer konsistenten Theorie eines Spin-2-Mesons'' ("Attempt at a Consistent Theory of a Spin 2 Meson"). In 1967–1969 Minkowski was an assistant at the Institute for Theoretical Physics, University of Louvain in Belgium, in 1969–1971 research associate of the Swiss Institute for Nuclear Research (S ...
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Oskar Minkowski
Oskar Minkowski (; 13 January 1858 – 18 July 1931) was a German physician and physiologist who held a professorship at the University of Breslau and is most famous for his research on diabetes. He was the brother of the mathematician Hermann Minkowski and father of astrophysicist Rudolph Minkowski. Life and career Born in Aleksotas, of Jewish origin,Minkowski biography
History.mcs.st-andrews.ac.uk (1909-01-12). Retrieved on 2014-07-23.
but later converted to Christianity. Minkowski was the son of Rachel (née Taubmann) and Lewin Boruch Minkowski (1825–1884), a first-guild merchant, who subsidized construction of the choral synagogue in Kovno.


Discovery of the role of pancreas in diabetes
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Marc Minkowski
Marc Minkowski (born 4 October 1962) is a French conductor of classical music, especially known for his interpretations of French Baroque works, and is the current general director of Opéra national de Bordeaux. His mother, Mary Anne (Wade), is American, and his father was Alexandre Minkowski, a Polish-French professor of pediatrics and one of the founders of neonatology. Marc Minkowski is a Chevalier du Mérite. Life and career Marc Minkowski was born in Paris. His maternal grandmother, Edith Wade, was a violinist. He began his musical career as a bassoonist for René Clemencic's Clemencic Consort and Philippe Pierlot's Ricercar Consort. In 1982, Minkowski formed "Les Musiciens du Louvre", an orchestra dedicated to showcasing French Baroque music which has championed works by Marin Marais (opera '' Alcyone''), Jean-Joseph Mouret (opera ''Les amours de Ragonde''), Marc-Antoine Charpentier, Jean-Baptiste Lully (opera '' Phaëton'' at Opéra National de Lyon) and Jean-Phili ...
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Khristian Minkovski
Khristian Petkov Minkovski ( bg, Христиан Петков Минковски) (born October 24, 1971 in Sofia) is a retired butterfly swimmer from Bulgaria. He was a member of the Bulgarian National Swimming Team (four men and one woman) at the 1992 Summer Olympics in Barcelona, Spain Barcelona ( , , ) is a city on the coast of northeastern Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second most populous municipality of Spain. With a population of 1.6 million within ci .... He didn't reach the finals in the men's 100 m butterfly (45th place) and the men's 200 m butterfly (35th place). References 1971 births Living people Male butterfly swimmers Bulgarian male swimmers Olympic swimmers for Bulgaria Swimmers at the 1992 Summer Olympics Sportspeople from Sofia {{Bulgaria-swimming-bio-stub ...
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Christopher Minkowski
Christopher Zand Minkowski (; born 13 May 1953) is an American academic, who has been Boden Professor of Sanskrit at the University of Oxford since 2005. Education and early career Minkowski was educated at Gilman School before studying English at Harvard College. After receiving a diploma in Hindi from the University of Delhi in 1976, he returned to Harvard to obtain a master's degree, followed by a PhD in Sanskrit and Indian Studies in 1986. Thereafter, he taught at the University of Iowa and Brown University before a research year (as a junior research fellow) at Wolfson College, Oxford. Later career Between 1989 and 2006, he taught at Cornell University, becoming Professor of Asian Studies and Classics. He was appointed Boden Professor of Sanskrit at the University of Oxford in 2005, a post that carries with it a Oxbridge Fellow, professorial fellowship at Balliol College, Oxford. His writings include ''Priesthood in Ancient India'' (1991) as well as articles on Vedic religi ...
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Smith–Minkowski–Siegel Mass Formula
In mathematics, the Smith–Minkowski–Siegel mass formula (or Minkowski–Siegel mass formula) is a formula for the sum of the weights of the lattices (quadratic forms) in a genus, weighted by the reciprocals of the orders of their automorphism groups. The mass formula is often given for integral quadratic forms, though it can be generalized to quadratic forms over any algebraic number field. In 0 and 1 dimensions the mass formula is trivial, in 2 dimensions it is essentially equivalent to Dirichlet's class number formulas for imaginary quadratic fields, and in 3 dimensions some partial results were given by Gotthold Eisenstein. The mass formula in higher dimensions was first given by , though his results were forgotten for many years. It was rediscovered by , and an error in Minkowski's paper was found and corrected by . Many published versions of the mass formula have errors; in particular the 2-adic densities are difficult to get right, and it is sometimes forgotten that the ...
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Separating Axis Theorem
In geometry, the hyperplane separation theorem is a theorem about disjoint convex sets in ''n''-dimensional Euclidean space. There are several rather similar versions. In one version of the theorem, if both these sets are closed and at least one of them is compact, then there is a hyperplane in between them and even two parallel hyperplanes in between them separated by a gap. In another version, if both disjoint convex sets are open, then there is a hyperplane in between them, but not necessarily any gap. An axis which is orthogonal to a separating hyperplane is a separating axis, because the orthogonal projections of the convex bodies onto the axis are disjoint. The hyperplane separation theorem is due to Hermann Minkowski. The Hahn–Banach separation theorem generalizes the result to topological vector spaces. A related result is the supporting hyperplane theorem. In the context of support-vector machines, the ''optimally separating hyperplane'' or ''maximum-margin hype ...
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